which prime numbers would you have to consider as possible factors of 325 in order to determine whether 325 is a prime or composite number
To determine whether 325 is a prime or composite number, you would have to consider prime numbers up to the square root of 325.
The square root of 325 is approximately 18.03, so you would have to consider prime numbers up to 18.
The prime numbers up to 18 are: 2, 3, 5, 7, 11, 13, and 17.
To determine whether 325 is a prime or composite number, you would need to consider prime numbers up to the square root of 325. If any of these prime numbers divide 325 without leaving a remainder, then 325 is a composite number; otherwise, it is a prime number.
Let's find the prime numbers up to the square root of 325, which is approximately 18.03:
Prime numbers up to 18:
2, 3, 5, 7, 11, 13, 17
Now we can check if any of these prime numbers divide 325. We perform the division and check for remainders:
325 ÷ 2 = 162 with a remainder of 1
325 ÷ 3 = 108 with a remainder of 1
325 ÷ 5 = 65 with a remainder of 0
Since 325 is divisible by 5 with no remainder, it is a composite number. Therefore, the prime numbers you would have to consider as possible factors of 325 are 2, 3, 5.
To determine whether 325 is a prime or composite number, you would need to consider prime numbers less than or equal to the square root of 325.
The square root of 325 is approximately 18.0278. So, you would consider prime numbers up to 18.
The prime numbers less than or equal to 18 are: 2, 3, 5, 7, 11, 13, 17.
To determine if 325 is divisible by any of these prime numbers, you would divide 325 by each of these prime numbers and check if the remainder is zero. If the remainder is zero for any of these divisions, then 325 is a composite number. If the remainder is not zero for any of these divisions, then 325 is a prime number.